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Title: | Strong retracts of unary algebras | Authors: | Madarász Rozália Mašulović Dragan Tasić B. |
Issue Date: | 2001 | Journal: | Czechoslovak Mathematical Journal | Abstract: | This paper introduces the notion of a strong retract of an algebra and then focuses on strong retracts of unary algebras. We characterize subuniverses of a unary algebra which are carriers of its strong retracts. This characterization enables us to describe the poset of strong retracts of a unary algebra under inclusion. Since this poset is not necessarily a lattice, we give a necessary and sufficient condition for the poset to be a lattice, as well as the full description of the poset. | URI: | https://open.uns.ac.rs/handle/123456789/25460 | ISSN: | 0011-4642 | DOI: | 10.1023/A:1013778410270 |
Appears in Collections: | PMF Publikacije/Publications |
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